Chapter92D實體結構分析Analysisof2DStructuralSolids2/46Contents9.1 何謂2D結構?

WhenisaStructureModeledas2D?9.2 PLANE42:2D實體結構元素

PLANE42:2DStructuralSolidElement9.3 實例:平面應力問題

Example:PlaneStressCase9.4 實例:平面應變問題

Example:PlaneStrainCase9.5 實例:軸對稱問題

Example:AxisymmetricCase9.6 2D實體元素瀏覽

Overviewof2DSolidElements9.7 練習題:懸臂樑的2D分析

2DAnalysisofaCantilevelBeam3/46第9.1節(jié)何謂2D結構?WhenisaStructureModeledas2D?4/469.1.1平面應力問題Fixedpinhole,0.8indiameterTaperedpressureload:50to500psiapproximatesa130lbpinloadforce6in2in4in2in0.4inradiusThickness=1/2in5/469.1.2平面應變問題6/469.1.3軸對稱問題7/46第9.2節(jié)PLANE42:2D實體結構元素PLANE42:2DStructuralSolidElement8/469.2.1PLANE42元素描述9/469.2.2PLANE42輸入資料ElementNamePLANE42NodesI,J,K,LDegreesofFreedomUX,UYRealConstantNone,ifKEYOPT(3)=0,1,2

Thickness,ifKEYOPT(3)=3MaterialPropertiesEX,NUXY,GXY,ALPX,DENS,DAMP,etc.SurfaceLoadsPressure:face1(JI),face2(KJ),face3(LK),face4(IL)

BodyLoadsTemperature--T(I),T(J),T(K),T(L)SpecialFeaturesPlasticity,Creep,Stressstiffening,

Largedeflection,Largestrain,etc.KEYOPT(1)Keyforelementcoordinatesystem:

0--ElementC.S.isparalleltotheglobalC.S.

1--ElementC.S.isbasedontheelementI-Jside

KEYOPT(2)Keytoincludeextrashapes:

0--Includeextradisplacementshapes

1--Suppressextradisplacementshapes

KEYOPT(3)0--Planestress

1--Axisymmetric

2--Planestrain

3--Planestresswiththicknessinput

10/46第9.3節(jié)實例:平面應力問題Example:PlaneStressCase11/469.3.1問題描述Fixedpinhole,0.8indiameterTaperedpressureload:50to500psiapproximatesa130lbpinloadforce6in2in4in2in0.4inradiusThickness=1/2in12/469.3.2ANSYSProcedure(1/5)01020304050607080910111213141516FINISH/CLEAR/TITLE,CornerBracket(in-lbf-s)/PREP7

ET,1,PLANE82,,,3

R,1,0.5

MP,EX,1,30E6

MP,NUXY,1,0.27

RECTNG,0,6,-1,

1

RECTNG,4,6,-3,-1

PCIRC,1

WPOFFS,5,-3

PCIRC,1

AADD,ALL13/469.3.2ANSYSProcedure(2/5)181920212223242526272829WPOFFS,-5,3

PCIRC,0.4

WPOFFS,5,-3

PCIRC,0.4

ASBA,5,ALL

LFILLT,8,17,0.4

AL,12,13,14

AADD,ALL

APLOT

/PNUM,LINE,ON

/PNUM,KP,ON

LPLOT

14/469.3.2ANSYSProcedure(3/5)3031323334/PNUM,DEFAULT

SMRTSIZE,5

AMESH,ALL

EPLOT

FINISH

15/469.3.2ANSYSProcedure(4/5)36373839404142434445464748

/SOLU

DK,7,ALL,0,,1

DK,9,ALL,0,,1

DK,10,ALL,0,,1

DK,12,ALL,0,,1

SFL,10,PRES,50,500

SFL,11,PRES,500,50

/PBC,U,,ON

/PSF,PRES,NORM,2

APLOT

SOLVE

FINISH

16/469.3.2ANSYSProcedure(5/5)50515253

/POST1

PLDISP,2

PLNSOL,S,EQV

17/46第9.4節(jié)實例:平面應變問題Example:PlaneStrainCase18/469.4.1問題描述19/469.4.2ANSYSProcedure(1/6)01020304050607080910111213141516171819202122232425FINISH/CLEAR/TITLE,STRESSESINALONGCYLINDER/UNITS,BIN/PREP7

ET,1,PLANE42,,,2

MP,EX,1,30E6

MP,DENS,1,.00073

MP,NUXY,1,0.3

CSYS,1

K,1,4,0

K,2,8,0

K,3,4,45

K,4,8,45

A,3,1,2,4

ESIZE,.25

MSHKEY,1

MSHAPE,0,2D

AMESH,1

NROTAT,ALL

FINISH20/469.4.2ANSYSProcedure(2/6)27282930313233343536373839404142434445464748/SOLU

NSEL,S,LOC,Y,0

NSEL,A,LOC,Y,45

D,ALL,UY,0

NSEL,S,LOC,X,4

SF,ALL,PRES,30000

ALLSEL

/PBC,U,,ON

/PSF,PRES,NORM,2

EPLOT

SOLVE

NSEL,S,LOC,X,4

SF,ALL,PRES,0

ALLSEL

OMEGA,,,1000

SOLVE

FINISH21/469.4.2ANSYSProcedure(3/6)50515253545556/POST1

SET,1

PLDISP,2

RSYS,1

PLNSOL,S,X

PLNSOL,S,Y22/469.4.2ANSYSProcedure(4/6)585960616263646566

PATH,R-DIR,2

PPATH,1,,4,0

PPATH,2,,8,0

PDEF,R-STRESS,S,X

PDEF,H-STRESS,S,Y

/GRID,1

/AXLAB,Y,STRESS

/TITLE,STRESSUNDERPRESSURE

PLPATH,R-STRESS,H-STRESS23/469.4.2ANSYSProcedure(5/6)68697071

SET,2

PLDISP,2

PLNSOL,S,X

PLNSOL,S,Y24/469.4.2ANSYSProcedure(6/6)73747576

PDEF,R-STRESS,S,X

PDEF,H-STRESS,S,Y

/TITLE,STRESSUNDERROTATION

PLPATH,R-STRESS,H-STRESS

25/46第9.5節(jié)實例:軸對稱問題Example:AxisymmetricCase26/469.5.1問題描述27/469.5.2ANSYSProcedure(1/6)0102030405060708091011121314151617181920212223FINISH/CLEAR/TITLE,STRESSESINALONGCYLINDER/UNITS,BIN/PREP7

ET,1,PLANE42,,,1

MP,EX,1,30E6

MP,DENS,1,.00073

MP,NUXY,1,0.3

K,1,4,0

K,2,8,0

K,3,4,1

K,4,8,1

A,3,1,2,4

ESIZE,.25

MSHK,1

MSHA,0,2D

AMESH,1

FINISH28/469.5.2ANSYSProcedure(2/6)25262728293031323334353637383940414243444546

/SOLU

NSEL,S,LOC,Y,0

NSEL,A,LOC,Y,1

D,ALL,UY,0

NSEL,S,LOC,X,4

SF,ALL,PRES,30000

ALLSEL

/PBC,U,,ON

/PSF,PRES,NORM,2

EPLOT

SOLVE

NSEL,S,LOC,X,4

SF,ALL,PRES,0

ALLSEL

OMEGA,,1000

SOLVE

FINISH29/469.5.2ANSYSProcedure(3/6)484950515253/POST1

SET,1

PLDISP,2

PLNSOL,S,X

PLNSOL,S,Z30/469.5.2ANSYSProcedure(4/6)555657585960616263

PATH,R-DIR,2

PPATH,1,,4,0

PPATH,2,,8,0

PDEF,R-STRESS,S,X

PDEF,H-STRESS,S,Z

/GRID,1

/AXLAB,Y,STRESS

/TITLE,STRESSUNDERPRESSURE

PLPATH,R-STRESS,H-STRESS31/469.5.2ANSYSProcedure(5/6)65666768

SET,2

PLDISP,2

PLNSOL,S,X

PLNSOL,S,Z32/469.5.2ANSYSProcedure(6/6)70717273

PDEF,R-ST